College

We appreciate your visit to Convert between mass moles and atoms of an element How many Ni atoms are there in a 99 7 gram sample of elemental Ni. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Convert between mass, moles, and atoms of an element.

How many Ni atoms are there in a 99.7 gram sample of elemental Ni?

Answer :

Sure, I'd be happy to help you with this! Let's break down the process of finding the number of nickel (Ni) atoms in a 99.7 gram sample of elemental nickel.

### Step 1: Identify the Given Information

- Mass of nickel (Ni) sample: [tex]\( 99.7 \)[/tex] grams
- Molar mass of nickel (Ni): [tex]\( 58.69 \)[/tex] grams per mole (g/mol)
- Avogadro's number: [tex]\( 6.022 \times 10^{23} \)[/tex] atoms per mole

### Step 2: Calculate the Number of Moles of Nickel

The number of moles can be calculated using the formula:

[tex]\[
\text{Number of moles} = \frac{\text{Mass of the sample}}{\text{Molar mass}}
\][/tex]

Substituting the given values:

[tex]\[
\text{Number of moles of Ni} = \frac{99.7 \, \text{g}}{58.69 \, \text{g/mol}} \approx 1.6988
\][/tex]

### Step 3: Calculate the Number of Atoms

To find the number of atoms, we use Avogadro's number, which is the number of atoms in one mole of a substance. Multiply the number of moles of nickel by Avogadro's number:

[tex]\[
\text{Number of atoms} = \text{Number of moles} \times \text{Avogadro's number}
\][/tex]

Substituting the values:

[tex]\[
\text{Number of atoms} \approx 1.6988 \times 6.022 \times 10^{23} \approx 1.02299 \times 10^{24}
\][/tex]

### Final Answer

There are approximately [tex]\( 1.02299 \times 10^{24} \)[/tex] nickel (Ni) atoms in a 99.7 gram sample of elemental nickel.

Thanks for taking the time to read Convert between mass moles and atoms of an element How many Ni atoms are there in a 99 7 gram sample of elemental Ni. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada